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Finding the Third Proportional to 21,704 and 44,560

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Solution

The third proportional to 21,704 and 44,560 is: 91,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704 : 44,560 = 44,560 : x
  2. Step 2: Convert to fraction form
    21,704/44,560 = 44,560/x
  3. Step 3: Cross multiply
    21,704x = 44,560 × 44,560
  4. Step 4: Simplify right side
    21,704x = 1,985,593,600
  5. Step 5: Solve for x
    x = 1,985,593,600/21,704
  6. Step 6: Final answer
    x = 91,485.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.